3(n+4)+5n=6n-2

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Solution for 3(n+4)+5n=6n-2 equation:


Simplifying
3(n + 4) + 5n = 6n + -2

Reorder the terms:
3(4 + n) + 5n = 6n + -2
(4 * 3 + n * 3) + 5n = 6n + -2
(12 + 3n) + 5n = 6n + -2

Combine like terms: 3n + 5n = 8n
12 + 8n = 6n + -2

Reorder the terms:
12 + 8n = -2 + 6n

Solving
12 + 8n = -2 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
12 + 8n + -6n = -2 + 6n + -6n

Combine like terms: 8n + -6n = 2n
12 + 2n = -2 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + 2n = -2 + 0
12 + 2n = -2

Add '-12' to each side of the equation.
12 + -12 + 2n = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = -2 + -12
2n = -2 + -12

Combine like terms: -2 + -12 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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